[SOLVED] math word problem - need help

A pole is standing vertically in a lake in such a way that one fifth of the pole is in the mud. Two thirds are in the water, one eigth is above the water, and a piece of the top, measuring one foot 3 inches is broken off. What is the depth of the lake?

A pole is standing vertically in a lake in such a way that one fifth of the pole is in the mud. Two thirds are in the water, one eigth is above the water, and a piece of the top, measuring one foot 3 inches is broken off. What is the depth of the lake?